Analyzing stochastic models
Presenter
May 11, 2008
Keywords:
- Stochastic models
MSC:
- 91B70
Abstract
Classical stochastic models for chemical reaction networks are
given by continuous time Markov chains. Methods for characterizing these
models will be reviewed focusing primarily on obtaining the models as
solutions of stochastic equations. The relationship between these equations
and standard simulation methods will be described. The primary focus of the
talk will be on employing stochastic analytic methods for these equations to
understand the multiscale nature of complex networks and to exploit the
multiscale properties to simplify the network models.